A FPLL has an I, a Q and a third multiplier, with the I multiplier supplying demodulated signals to a limiter and the Q multiplier supplying signals to a loop filter. A VCO and phase shift circuit supply quadrature signals to the I and Q multipliers. The analog input signal is applied to the I multiplier and to the third multiplier. The third multiplier, which is located in an AC path in the loop to avoid the effects of offsets due to stray DC voltages and currents, is also supplied with the digital output of the limiter. The third multiplier supplies its output to the Q multiplier.